Atkin-Lehner |
2- 3- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270bd |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
3391488 |
Modular degree for the optimal curve |
Δ |
4632125772084019200 = 232 · 36 · 52 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11599952,-15203356621] |
[a1,a2,a3,a4,a6] |
Generators |
[-1967:1573:1] |
Generators of the group modulo torsion |
j |
236790745663143099455929/6354081991884800 |
j-invariant |
L |
12.419438864483 |
L(r)(E,1)/r! |
Ω |
0.081806197966703 |
Real period |
R |
2.3721152795014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030b1 |
Quadratic twists by: -3 |